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Finding the Third Proportional to 52,582.50 and 114,802.31

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Solution

The third proportional to 52,582.50 and 114,802.31 is: 250,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,582.50 : 114,802.31 = 114,802.31 : x
  2. Step 2: Convert to fraction form
    52,582.50/114,802.31 = 114,802.31/x
  3. Step 3: Cross multiply
    52,582.50x = 114,802.31 × 114,802.31
  4. Step 4: Simplify right side
    52,582.50x = 13,179,570,955.35
  5. Step 5: Solve for x
    x = 13,179,570,955.35/52,582.50
  6. Step 6: Final answer
    x = 250,645.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.